Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_Mitrinovic_4_15m.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove modified 4.15 in Mitrinovic, presented in
S. Gerhold and M. Kauers, A Procedure for Proving Special Function Inequalities Involving a Discrete Parameter.
ISSAC '05: Proceedings of the 2005 international symposium on Symbolic and algebraic computationJuly 2005 Pages 156-162.
(https://dl.acm.org/doi/10.1145/1073884.1073907)
| Benchmark |
|---|
| Size | 1347 |
| Compressed Size | 736 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | industrial |
| First Occurrence | 2022-08-10 |
| Generated By | Ali K. Uncu, Matthew England, and James H. Davenport |
| Generated On | 2022-01-06 00:00:00 |
| Generator | SUMCracker-ProveInequality function by Manuel Kauers ("https://www3.risc.jku.at/research/combinat/software/ergosum/RISC/SumCracker.html") |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | unsat |
| Inferred Status | unsat |
| Size | 1316 |
| Compressed Size | 730 |
| Max. Term Depth | 4 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 7 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.10194
|
0.10249
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.02000
|
1199.89000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.08112
|
0.08121
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.03428
|
0.00664
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
10.17400
|
10.17320
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
1.34637
|
1.34757
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.02576
|
0.02570
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.09320
|
0.09510
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.30629
|
0.30636
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
59.76230
|
59.75660
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.08865
|
0.08873
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.03303
|
0.00645
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
14.66590
|
14.66520
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.02095
|
0.02092
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02559
|
0.02578
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.29158
|
0.29152
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.29432
|
0.29439
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.82872
|
0.71267
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43378
|
0.42057
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.80533
|
0.68397
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.31437
|
0.19035
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.59059
|
0.48257
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.28711
|
0.16836
|
| |
|
z3siri-base |
unsat ✅
|
0.28941
|
0.16722
|